SPEC_ALL : thm -> thm

- STRUCTURE
- SYNOPSIS
- Specializes the conclusion of a theorem with its own quantified variables.
- DESCRIPTION
- When applied to a theorem A |- !x1...xn. t, the inference rule SPEC_ALL returns the theorem A |- t[x1'/x1]...[xn'/xn] where the xi' are distinct variants of the corresponding xi, chosen to avoid clashes with any variables free in the assumption list and with the names of constants. Normally xi' is just xi, in which case SPEC_ALL simply removes all universal quantifiers.
A |- !x1...xn. t --------------------------- SPEC_ALL A |- t[x1'/x1]...[xn'/xn]

- FAILURE
- Never fails.
- EXAMPLE
- SPEC_ALL CONJ_ASSOC; > val it = |- t1 /\ t2 /\ t3 = (t1 /\ t2) /\ t3 : thm

- SEEALSO

HOL Kananaskis-14